97537500 has 216 divisors, whose sum is σ = 335759760. Its totient is φ = 24480000.

The previous prime is 97537487. The next prime is 97537523. The reversal of 97537500 is 573579.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5737492 + ... + 5737508.

Almost surely, 2^97537500 is an apocalyptic number.

97537500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97537500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167879880).

97537500 is an abundant number, since it is smaller than the sum of its proper divisors (238222260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97537500 is a wasteful number, since it uses less digits than its factorization.

97537500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The square root of 97537500 is about 9876.1075328289. The cubic root of 97537500 is about 460.3172040244.

The spelling of 97537500 in words is "ninety-seven million, five hundred thirty-seven thousand, five hundred".